Conical tent is made of 4.5 m wide tarpaulin. Vertical height of the conical tent is 4 m and base radius is 3 m. Find the length of the tarpaulin used, assuming that 10% extra material is required for stitching margins and wastage in cutting (Take π = 3.14)
r = 3m, h=4m
l = Square root of (r2+h2) = 5m
CSA=πrl = 47.10m2
Area la extra material (10%) = (10/100) × 47.10
= 4.71m2
Total are = 47.10 + 4.71 = 51.81m2
Breadth is given 4.5m
Length = ?
Area = l × b
51.81 = l × 4.5m
l=11.51